Lab 13 - Ballistic Pendulum Lab

Lab 13 - Ballistics Pendulum Lab

Vb = (2gh)^(1/2)((Mb + Mp)/Mb)
h = 0.02m
Mb = 0.0076kg
Mp = 0.00865kg
d = 2.273m

Vb = (2*9.8*0.02)^(1/2)((0.0076 + 0.00865)/(0.0076)) = 7.75m/s

Kinematic Proof:
v2 = vo2 + 2a∆x
v = √(vo2 + 2a∆x)
v = √(2(9.8)(0.87))
v = 4.129 m/s (Just dropping the ball)

v = vo + at
∆v/a = t
t = 4.129/9.8
t = 0.421 seconds to hit the ground

∆x = vot + 1/2at2
(2∆x)/(t2) = a
2(2.273)/(0.4212) = a
a = 25.649m/s2
v = √(vo2 + 2a∆x)
v =√(02 + 2(25.649)(2.273))
v = 10.798m/s
28.227% error


v = dx/t
v = 2.273/0.421 seconds
v = 5.399 m/s
43.544% error